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Plan1 Conversão Prova do Resultado 0.81251 X 2 = 1.62502 1 Converter o valor decimal 0,81251 da base 10 para a base 2 (Binário): 1) Multiplica-se o decimal pela base para a qual se quer converter; 2) Retira a parte inteira do resultado e refaz a multiplicação, até que esta resulte em 0; 3) Usa-se os valores inteiros obtidos para compor o resultado, após a vírgula. 4) Resultado: 0,110100000000000010100111110001011010110001000111000000 1 X 2 ^ -1 = 0.5 0.5 0.62502 X 2 = 1.25004 1 1 X 2 ^ -2 = 0.25 0.25 0.25004 X 2 = 0.50008 0 0 X 2 ^ -3 = 0.125 0 0.50008 X 2 = 1.00016 1 1 X 2 ^ -4 = 6.25E-2 0.0625 0.00016 X 2 = 0.00032 0 0 X 2 ^ -5 = 3.125E-2 0 0.00032 X 2 = 0.00064 0 0 X 2 ^ -6 = 1.5625E-2 0 0.00064 X 2 = 0.00128 0 0 X 2 ^ -7 = 7.8125E-3 0 0.00128 X 2 = 0.00256 0 0 X 2 ^ -8 = 3.90625E-3 0 0.00256 X 2 = 0.00512 0 0 X 2 ^ -9 = 1.953125E-3 0 0.00512 X 2 = 0.01024 0 0 X 2 ^ -10 = 9.765625E-4 0 0.01024 X 2 = 0.02048 0 0 X 2 ^ -11 = 4.8828125E-4 0 0.02048 X 2 = 0.04096 0 0 X 2 ^ -12 = 2.44140625E-4 0 0.04096 X 2 = 0.08192 0 0 X 2 ^ -13 = 1.220703125E-4 0 0.08192 X 2 = 0.16384 0 0 X 2 ^ -14 = 6.103515625E-5 0 0.16384 X 2 = 0.32768 0 0 X 2 ^ -15 = 3.0517578125E-5 0 0.32768 X 2 = 0.65536 0 0 X 2 ^ -16 = 1.52587890625E-5 0 0.65536 X 2 = 1.31072 1 1 X 2 ^ -17 = 7.62939453125E-6 0.0000076294 0.31072 X 2 = 0.62144 0 0 X 2 ^ -18 = 3.814697265625E-6 0 0.62144 X 2 = 1.24288 1 1 X 2 ^ -19 = 1.9073486328125E-6 0.0000019073 0.24288 X 2 = 0.48576 0 0 X 2 ^ -20 = 9.5367431640625E-7 0 0.48576 X 2 = 0.9715199999 0 0 X 2 ^ -21 = 4.76837158203125E-7 0 0.9715199999 X 2 = 1.9430399998 1 1 X 2 ^ -22 = 2.384185791015625E-7 0.0000002384 0.9430399998 X 2 = 1.8860799996 1 1 X 2 ^ -23 = 1.1920928955078125E-7 0.0000001192 0.8860799996 X 2 = 1.7721599992 1 1 X 2 ^ -24 = 5.9604644775390625E-8 0.0000000596 0.7721599992 X 2 = 1.5443199985 1 1 X 2 ^ -25 = 2.9802322387695313E-8 0.0000000298 0.5443199985 X 2 = 1.0886399969 1 1 X 2 ^ -26 = 1.4901161193847656E-8 0.0000000149 0.0886399969 X 2 = 0.1772799939 0 0 X 2 ^ -27 = 7.4505805969238281E-9 0 0.1772799939 X 2 = 0.3545599878 0 0 X 2 ^ -28 = 3.7252902984619141E-9 0 0.3545599878 X 2 = 0.7091199756 0 0 X 2 ^ -29 = 1.862645149230957E-9 0 0.7091199756 X 2 = 1.4182399511 1 1 X 2 ^ -30 = 9.3132257461547852E-10 0.0000000009 0.4182399511 X 2 = 0.8364799023 0 0 X 2 ^ -31 = 4.6566128730773926E-10 0 0.8364799023 X 2 = 1.6729598045 1 1 X 2 ^ -32 = 2.3283064365386963E-10 0.0000000002 0.6729598045 X 2 = 1.3459196091 1 1 X 2 ^ -33 = 1.1641532182693481E-10 0.0000000001 0.3459196091 X 2 = 0.6918392181 0 0 X 2 ^ -34 = 5.8207660913467407E-11 0 0.6918392181 X 2 = 1.3836784363 1 1 X 2 ^ -35 = 2.9103830456733704E-11 0 0.3836784363 X 2 = 0.7673568726 0 0 X 2 ^ -36 = 1.4551915228366852E-11 0 0.7673568726 X 2 = 1.5347137451 1 1 X 2 ^ -37 = 7.2759576141834259E-12 0 0.5347137451 X 2 = 1.0694274902 1 1 X 2 ^ -38 = 3.637978807091713E-12 0 0.0694274902 X 2 = 0.1388549805 0 0 X 2 ^ -39 = 1.8189894035458565E-12 0 0.1388549805 X 2 = 0.2777099609 0 0 X 2 ^ -40 = 9.0949470177292824E-13 0 0.2777099609 X 2 = 0.5554199219 0 0 X 2 ^ -41 = 4.5474735088646412E-13 0 0.5554199219 X 2 = 1.1108398438 1 1 X 2 ^ -42 = 2.2737367544323206E-13 0 0.1108398438 X 2 = 0.2216796875 0 0 X 2 ^ -43 = 1.1368683772161603E-13 0 0.2216796875 X 2 = 0.443359375 0 0 X 2 ^ -44 = 5.6843418860808015E-14 0 0.443359375 X 2 = 0.88671875 0 0 X 2 ^ -45 = 2.8421709430404007E-14 0 0.88671875 X 2 = 1.7734375 1 1 X 2 ^ -46 = 1.4210854715202004E-14 0 0.7734375 X 2 = 1.546875 1 1 X 2 ^ -47 = 7.1054273576010019E-15 0 0.546875 X 2 = 1.09375 1 1 X 2 ^ -48 = 3.5527136788005009E-15 0 0.09375 X 2 = 0.1875 0 0 X 2 ^ -49 = 1.7763568394002505E-15 0 0.1875 X 2 = 0.375 0 0 X 2 ^ -50 = 8.8817841970012523E-16 0 0.375 X 2 = 0.75 0 0 X 2 ^ -51 = 4.4408920985006262E-16 0 0.75 X 2 = 1.5 1 1 X 2 ^ -52 = 2.2204460492503131E-16 0 0.5 X 2 = 1 1 1 X 2 ^ -53 = 1.1102230246251565E-16 0 0 X 2 = 0 0 0 X 2 ^ -54 = 5.5511151231257827E-17 0 Soma dos resultados 0.81251
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